Advanced Topics in Information Theory [IT-A]


Lecturer:
Prof. Dr.-Ing. R. Müller

Time:
Tuesday, 08:15 - 09:45; Wednesday, 12:15 - 13:45

Place:
0.151-115

Tutorial:
Time and Place: To be announced
Ebrahim Amiri, M.Sc.

Language:
English

Organization:
3 CHW Lectures, 1 CHW Tutorial, Summer term
[CHW=Class Hours per Week]

ECTS Information:
ECTS credits: 5 (Lectures+Tutorial)

Fields of Study:
WF CE-MA-TA-IT ab 2
WF CE-MA-AM ab 2
WPF EEI-BA-INT 5-6
WPF EEI-MA-INT 1-4
WPF SIM-DH 7-10
WPF SIM-MA 1-4
WPF CME-MA ab 2
WPF IuK-MA-ÜTMK-EEI 1-4
WPF BPT-MA-E 1-3

Prerequisites:
Recommended: A basic course on information theory

Content:
The lecture provides a deep understanding of information theory by explaining the advanced topics of this subject, including:
Rate region, multiuser source coding, time sharing, multiuser channel codes, multiple-access channel (MAC), capacity region, mutual information versus minimum-mean squared error, Gaussian MAC , power region, Gaussian vector MAC, source coding with side information, degraded broadcast channel, Gaussian broadcast-MAC duality, Gaussian vector broadcast channel, dirty-paper coding, physically degraded relay channel, scalar Gaussian relay channel, Gaussian interference channel, cut-set bound, fading channels, multiuser water filling, block fading, diversity, user diversity, capacity versus outage, near-far gain, dual antenna arrays, Wishart distribution, factor iid model, Kronecker model, convergence of random variables, semi-circle law, quarter circle law, full circle law, Haar distribution, Marchenko-Pastur distribution, Stieltjes transform, Girko’s law, unitary invariance, freeness, free convolution, R-transform, free central limit theorem, free Poisson limit theorem, subordination, S-transform, R-diagonal random matrices, R-diagonal free convolution, Haagerup-Larsen law, operator-valued freeness, linearization of noncommutative polynomials, free Fourier transform.

Recommended Literature:
Cover, T. and Thomas, J. Elements of Information Theory, 2nd ed., Wiley, Hoboken, 2006.
Couillet, R. and Debbah, M. Random Matrix Methods for Wireless Communications, Cambridge Univ. Press, Cambridge, 2011.

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